Thanks for the links. The angle used to normalize what I call the map-of-France is exactly what I proposed: Divide the unnormalized set by 2 + exp(2pi*i/6). What I asked is whether there are other ways of doing it as well. I am extremely familiar with the definition of Hausdorff measure (and dimension). What I don't know is how to compute it for even slightly complicated actual examples like the map-of-France. --Dan Sometimes the brain has a mind of its own.